Home / 4,642-6,405.96-2,546.13

Finding the Fourth Proportional to 4,642, 6,405.96 and 2,546.13

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Solution

The fourth proportional to 4,642, 6,405.96 and 2,546.13 is: 3,513.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642 : 6,405.96 = 2,546.13 : x
  2. Step 2: Convert to fraction form
    4,642/6,405.96 = 2,546.13/x
  3. Step 3: Cross multiply
    4,642x = 6,405.96 × 2,546.13
  4. Step 4: Simplify right side
    4,642x = 16,310,406.93
  5. Step 5: Solve for x
    x = 16,310,406.93/4,642
  6. Step 6: Final answer
    x = 3,513.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.